{"id":"aqua_rat:a97b0e4465ef38a619eeb2d31191900d","source_id":"aqua_rat","source_item_id":"a97b0e4465ef38a619eeb2d31191900d","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14cm. how many times can it go round a cylinder having radius 20 cm?","stimulus":"","stimulus_html":null,"stem_html":"<p>A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14cm. how many times can it go round a cylinder having radius 20 cm?</p>","rationale_html":"<p>Required number of rounds be x</p><p>More radius, less rounds(Indirect proportion)</p><p>Hence we can write as</p><p>radius 14:20</p><p>::x:70</p><p>=14×70=20x</p><p>=14×7=2x</p><p>x=7×7=49</p><p>B</p>","correct_answer":["B"],"equiv_key":"960c0b63ec48c32b93ff4766","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>42</p>","ord":0},{"label":"B","content_html":"<p>49</p>","ord":1},{"label":"C","content_html":"<p>52</p>","ord":2},{"label":"D","content_html":"<p>59</p>","ord":3},{"label":"E","content_html":"<p>62</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}